AP Calculus AB Problems with Solutions (Part - 11)

Problem 1 :

Find the absolute maximum and absolute minimum values of f on the interval : (0, 3] :

Solution :

Problem 2 :

Find the x-values of all points of inflection of the function :

f(x) = x⁴ - 6x³

Solution :

Problem 3 :

Find dy/dx for y = sec(3x).

Solution :

Problem 4 :

Given the graph of f(x) below with a local maximum at the indicated point, find f'(-3).

Solution :

Problem 5 :

Let f''(x) = 4x³ - 2x and let f(x) be differentiable with critical points at x = -1, 0 and 1. Determine which critical values give a relative maximum.

Solution :

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